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Full Description
This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain.
The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory.
This book is published in cooperation with Real Sociedad Matematica Espanola (RSME).
Contents
Automorphic Galois representations and the inverse Galois problem by S. Arias-de-Reyna
Two Mayer-Vietoris spectral sequences for $\mathcal{D}$-modules by A. C. Dominguez
From Galois to Hopf Galois: Theory and practice by T. Crespo, A. Rio, and M. Vela
Elliptic curves with torsion group $\mathbb{Z}/8\mathbb{Z}$ or $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/6\mathbb{Z}$ by A. Dujella and J. C. Peral
Equidistribution, $L$-functions, and Sato-Tate groups by F. Fite
Covering techniques and rational points on some genus 5 curves by E. Gonzalez-Jimenez
On quantum integers and rationals by B. Le Stum and A. Quiros
A space of weight 1 modular forms attached to totally real cubic number fields by G. Mantilla-Soler
Characterization of gaps and elements of a numerical semigroup using Groebner bases by G. Marquez-Campos and J. M. Tornero
Classification des representations modulaires de $GL_n(q)$ caracteristique non naturelle by A. Minguez and V. Secherre
Fractional $p$-adic differentiability under the Amice transform by E. Nagel
Reciprocity laws related to finite potent endomorphisms by F. P. Romo
When the modular world becomes non-holomorphic by D. Raboso
